Answer:
39.52 Liters
Step-by-step explanation:
Chris has 10.4 Gallons of gasoline, which needs to be converted into Liters. This is done by multiplying the number of Liters there are in 1 Gallon.
[tex]10.4*3.8=39.52[/tex]
or you can set it up in a fraction and cross multiply to cancel out the units in Gallons
[tex]10.4G*\frac{3.8L}{1G}=39.52 L[/tex]
A biker travels the 120 mi from New York , NY to Wilmington, DE in 8 hours. A bus, a truck, and a rider on a horse take the same route as the biker. At what speed does each of them travel if it takes them 2 hours, 2.5 hours, and 18.75 hours respectively to reach Wilmington? Do the speed and the time vary directly or inversely proportional when the same distance is traveled? Explain why.
Answer:
The speed is inversely proportional to the time when the same distance is traveled.
Step-by-step explanation:
Given that:
The distance traveled by the biker in 8 hours is 120 mi.
The speed of the biker=120/8=15 mi/hr.
[as speed=Distance travelled/Time taken]
As all take the same route, so the distance traveled by all is the same which is 120 mi
The time taken by the bus to cover this distance is 2 hours.
So, the speed of the bus = 120/2=60 mi/hr.
The time taken by the truck is 2.5 hours.
So, the speed of the truck = 120/2.5=48 mi/hr.
And the time taken by the rider is 18.75 hours.
So, the speed of the rider = 120/18.75=6.40 mi/hr.
Now, observe that to cover the same distance, the bus takes the least time, so, the bus is traveling at the fastest speed among all, while the rider has the slowest speed as the distance is the same for all. The truck and the biker have speed in between the speed of the bus and the rider.
It can be concluded that when the time of the journey for the same distance is less than speed is more.
So, the speed is inversely proportional to the time when the same distance is traveled.
Or, [tex]\text{Speed}\propto\frac{1}{Time}[/tex]
A map on a coordinate plane places two cities on coordinates. Upland is located at (25, 5) and Highland is located at (50, 10). If each unit on the map represents one mile, approximately how many miles apart are the two cities?
Answer:
Approximately 25.5 miles
Step-by-step explanation:
Location of both the cities are [tex] (25,\: 5)=(x_1, \:y_1) \:\&\: (50,\: 10)=(x_2 , \:y_2) [/tex]
The distance between two cities can be obtained by using distance formula:
Distance between two cities
[tex] = \sqrt{ {(x_2 - x_1)}^{2} + {(y_2 - y_1)}^{2}} \\ \\ = \sqrt{ {(50 - 25)}^{2} + {(10 - 5)}^{2}} \\ \\ = \sqrt{ {(25)}^{2} + {(5)}^{2}} \\ \\ = \sqrt{ 625 + 25} \\ \\ = \sqrt{ 650} \\ \\ = 25.4950976 \\ \\ \approx25.5 \: miles[/tex]
What is the quotient?
3
4
Answer:
0.75
Step-by-step explanation:
it makes sense that 3 is the Dividend, 4 is the Divisor, and you want to know the Quotient. Thus, the answer is:
3 ÷ 4 = 0.75
Marley paints the bird houses that she sells at craft fairs. She can paint 12 bird houses in 4 hours. At this rate, how many bird houses can she paint in 2 hours? also 10 hours?
!WARNING! (*SOLVE WITH CLAIM, EVIDENCE, AND REASONING*)
!WARNING! IF YOU DO NOT DO THAT YOUR ANSWER WILL BE DELETED IN 24*
IF YOU CANT ANSWER THEN COMMENT ON SOMEONE ELSE COMMENT OR ASK QUESTIONS ABOUT THE QUESTION
Answer:
6 bird houses in 2 hours30 bird houses in 10 hoursStep-by-step explanation:
Marley can paint 12 bird houses in 4 hours
The rate of painting of bird houses is
12/4 = 3 bird houses per hourWith the same rate in 2 hours she can paint:
3*2 = 6 bird housesIn 10 hours she can paint:
3*10 = 30 bird housesAnswer:
6 bird houses in 2 hours30 bird hours in 10 hoursStep-by-step explanation:
12 / 4 = 3 bird houses per hour
3 * 2 = 6
3 * 10 = 30
Best of Luck!
Find the value of x.
Answer:
74 Degrees
Step-by-step explanation:
How i got it was we already know a triangle equal 180 degrees so you have to just add 69 degrees by 37 degrees and once you get the answer to the subtract it by 180 degrees and you get 74 degrees.
10)
What is the average rate of change for f(x) = 2x - 4 over the interval 25x36?
A)
8
B)
10
C)
15
D)
18
Hey someone help plz
Answer:
a
Step-by-step explanation:
thank me later
A data set lists weights (lb) of plastic discarded by households. The highest weight is 5.29 lb, the mean of all of the weights is x=1.995 lb, and the standard deviation of the weights is s=1.305 lb. a. What is the difference between the weight of 5.29 lb and the mean of the weights? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the weight of 5.29 lb to a z score. d. If we consider weights that convert to z scores between −2 and 2 to be neither significantly low nor significantly high, is the weight of 5.29 lb significant?
Answer:
Follows are the solution to this question:
Step-by-step explanation:
In point a:
The weight difference between 5.29 lb and the weighted mean:
[tex]=5.29-1.995 \\\\=3.295[/tex]
In point b:
The number of standard deviation:
[tex]=\frac{3.295}{1.305} \\\\ =2.52[/tex]
In point c:
[tex]z score= \frac{x- \mu}{\sigma}\\\\[/tex]
[tex]=\frac{ 1.995- 5.29}{1.305}\\\\=\frac{-3.295}{1.305}\\\\= - 2.52[/tex]
In point d:
No, since (-2, 2) included with the Zero is the z score and for weight is 5.29.
please help with both of them
X+y when x =11 and y= 6.4
Answer:
(x=11) + (y=6.4)
=11+ 6.4
=17.4
If a bag contains 12 apples, 4 bananas, and 8 oranges, what is the part-to-whole ratio of apples to all fruit?
Answer:1:6 is the answer. there are 4 bananas and 24 pieces of fruit total so it would be 4:24 until you simplify it to 1:6
Step-by-step explanation:
Answer:
1:6
Step-by-step explanation:
broski
how is a donkey living
Answer:
Donkeys are very social and usually live in a group called a herd. The herd is usually lead by one jack and consists of several jennies in the wild.
Step-by-step explanation:
PLEASE HELPPPP!! WILL GIVE BRAINLIEST + 25 POINTS
What is the value of g?
−5+7g=3g+9
g=−1
g = 1
g=125
g=312
Answer:
D
Step-by-step explanation:
We have the equation:
[tex]-5+7g=3g+9[/tex]
Add 5 to both sides:
[tex]7g=3g+14[/tex]
Subtract 3g from both sides:
[tex]4g=14[/tex]
Divide both sides by 4:
[tex]g=14/4[/tex]
We can spilt this into:
[tex]g=12/4+2/4[/tex]
Simplify:
[tex]g=3\frac{1}{2}[/tex]
So, our answer is D.
And we're done!
Answer:
g = 3 1/2
Step-by-step explanation:
−5 + 7g = 3g + 9
Subtract 3g from both sides.
−5 + 4g = 9
Add 5 to both sides.
4g = 14
Divide both sides by 4.
g = 14/4
Reduce the fraction.
g = 7/2
Change the fraction into a mixed numeral.
g = 3 1/2
Determine the range of the function. y = -2x2 + 3
A) all real numbers
B) all integers less than or equal to 3
C) all integers greater than or equal to 3
D) all real numbers less than or equal to 3
Answer:
D all real numbers greater or equal to 3
Step-by-step explanation:
That's the only one that makes since to me
Look at the images above. How are the fish food box and the shipping box similar? How are they different?
They are similar because of the color, and they are different because of the size and shape .
Answer:
The boxes are similar because they have similar dimensions and there both rectangular prisms. The boxes are different because one box is larger than the other box.
Step-by-step explanation:
A class of 24 students went on a picnic. They had a choice between having a turkey sandwich or a vegetarian sandwich. Eighteen students selected turkey, and the rest selected vegetarian. Write a ratio to compare the number of turkey sandwiches to the number of vegetarian sandwiches.
4 : 3
4 : 1
1 : 3
3 : 1
I believe it is the ratio 3 : 1.
18 students chose the turkey sandwich.
Since the class has a total of 24 students, we can deduce that 6 students chose the vegetarian sandwich.
This gives us a ratio of 18 : 6.
When simplified, we get a ratio of 3 : 1.
The quotient of 45 and r
Answer: 45r
Step-by-step explanation:
Kaitlin reads 49 chapters of a book in 7 hours. What is her rate in chapters per hour?
Answer:
7
Step-by-step explanation:
7 hours = 49 chapters
1 hours = x
x = (49×1)/7
x=7
Answer:
7 chapters per hour
Step-by-step explanation:
49 :7 =7 chapters per hour
Math help!!! Who know the answers???
Answer:
original: -5, 1
Final: 2, 1
All of the following represent the same expression except _____. 19 subtracted from 25 25 less than 19 25 minus 19 19 less than 25
Mariah has 714 postcards to put in an album each page of the album holds 10 postcards how many pages does Mariah need for her postcards
Answer:
72 pages
Step-by-step explanation:
If each page holds 10 cards, then we find the number of pages needed, we just need to divide the number of postcards by how many fit on each page.
So 714/10=71.4, or 71 r4
Because we do not have a whole number, we need to add another page so the extra 4 postcards have a page.
Therefore Mariah need 72 pages to hold her 714 postcards.
Hope this helped!
What is the value of y?
Square root of 34 x square root of y = 34
if a car travels at a constant speed of 45km/hr how long will a journey of 270km take?
Answer:
I think the answer is "6" but I could be wrong.
If f(x) =x/2 -2 and g(x) = 2x2 + x - 3, find (8 +g)(x),
O A. 2x2 - 2 +1
O B. x2 - 6
O C. 2x2 +2x+1
O D. 2x2 + x-5
2x-5
Answer: D) [tex]2x^{2} +\frac{3x}{2} -5[/tex]
Step-by-step explanation:
[tex]f(x)=\frac{x}{2} -2 \\g(x)= 2x^{2} +x-3\\\\\(f+g)(x)\\\[/tex]
[tex]\frac{x}{2} -2 +2x^{2} +x-3\\2x^{2} +\frac{x}{2} +x-5\\\\(f+g)(x)= 2x^{2} +\frac{3x}{2} -5[/tex]
The value of the expression (8 +g)(x) is 2x^2 + 3x/5 - 5, the correct option is D.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.
Linear function is a function whose graph is a straight line
We are given that;
f(x) =x/2 -2
g(x) = 2x2 + x - 3
Now,
To find (8 + g)(x), we need to add 8 to the function g(x).
g(x) = 2x^2 + x - 3
(8 + g)(x) = 8 + g(x) = 8 + (2x^2 + x - 3)
Simplifying the expression inside the parentheses:
= 2x^2 + x + 5
Therefore, the function (8 + g)(x) will be equal to 2x^2 + 3x/5 - 5.
Learn more about function here:
https://brainly.com/question/2253924
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Choose all the factors of 5. (Check all that apply.)
4
1
3
2
5
Answer:
1,5
Step-by-step explanation:
Factors are numbers that you multiply together to a number the only 2 numbers that multiply to make 5 in the list are 1 and 5
What is the constant of expression 8x-4 ?
Answer:
8, bye!
Step-by-step explanation:
Which does NOT show a reasonable estimate for 673 × 18?
A. 14,000
B. 13,500
C. 13,000
D. 10,000
Answer:
A. 14,000
Step-by-step explanation:
because 673 rounded would equal 700
and 18 rounded would be 20
so 700x20 would be 14,000
hopefully you understand
and i hope you have a good day :)
14,000 will not be the reasonable estimate for 673 × 18. The correct option is A.
What is multiplication?Multiplication is the process of determining the product of two or more numbers in mathematics. A product, or an expression that specifies factors to be multiplied, is what happens when you multiply two numbers in mathematics.
The product of the numbers 673 and 18 will be:-
673 x 18 = 12114
673 rounded would equal 700 and 18 rounded would be 20 and the product of 700 and 20 will be:-
700x20 = 14,000
Therefore, 14,000 will not be the reasonable estimate for 673 × 18. The correct option is A.
To know more about multiplication follow
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Gabriela makes a profit of $0.80 for every cup of coffee that she sells at her coffee shop. She wanted to make a profit of at least $75 today on coffee. If she sold 90 cups today, which statement is correct? *
She met her goal, because she made less than $75 on coffee today.
She met her goal, because she made more than $75 on coffee today.
She missed her goal, because she made less than $75 on coffee today.
She missed her goal, because she made more than $75 on coffee today.
Answer:
She missed her goal, because she made less than $75 on coffee today.
Step-by-step explanation:
Gabriela, did not meet her goal because she only mad 72$ today
if you do
80 cents times 90 cups you only get 72$
meaning that she was 3$ short from meeting her goal.
.80 * 90
Answer: She missed her goal because she made less than $75 on coffee today.
What is the value of k in the product of powers below?
10-3.10.10% = 10-3
1
103
O-3
-1
оо
1
Answer:
-1
Step-by-step explanation:
$&#&#&&#$&&$&&$$&$
An elevator went up 15 floors, down 9 floors, up 11 floors, and down 5 floors. Find the
net change. Right now the elevator is at th floor.
Answer:
From the info i have +15, -9. +11, -5 its 3
Step-by-step explanation:
The following probability distributions of job satisfaction scores for a sample of information systems (IS) senior executives and middle managers range from a low of (very dissatisfied) to a high of (very satisfied). Excel File: data05-21.xlsx Probability Job Satisfaction IS Senior IS Middle Score Executives Managers 1 0.05 0.04 2 0.09 0.10 3 0.03 0.12 4 0.42 0.46 5 0.41 0.28 a. What is the expected value of the job satisfaction score for senior executives (to 2 decimals)? b. What is the expected value of the job satisfaction score for middle managers (to 2 decimals)? c. Compute the variance of job satisfaction scores for executives and middle managers (to 2 decimals). Executives Middle managers d. Compute the standard deviation of job satisfaction scores for both probability distributions (to 2 decimals). Executives Middle managers e. What comparison can you make about the job satisfaction of senior executives and middle managers? - Select your answer -
Answer:
Kindly see explanation
Step-by-step explanation:
Given the data:
JOB satisfaction (x) : 1, 2, 3, 4, 5
IS Senior ; p(x) : 0.05, 0.09, 0.03, 0.42, 0.41
IS Middle ; p(x) : 0.04, 0.10, 0.12, 0.46, 0.28
Expected value of job satisfaction for senior executives :
E(x) = Σp(x) * x = [(1*0.05) + (2*0.09) + (3*0.03) + (4*0.42) + (5*0.41)]
= 4.05
B) Σp(x) * x = [(1*0.04) + (2*0.10) + (3*0.12) + (4*0.46) + (5*0.28)]
= 3.84
C.) Job variance for executives:
Σ(x - E(x))² * p(x) :
((1 - 4.05)^2 * 0.05) + ((2 - 4.05)^2 * 0.09) + ((3 - 4.05)^2 * 0.03) + ((4 - 4.05)^2 * 0.42) + ((5 - 4.05)^2 * 0.41)
= 1.2475 = 1.25 ( using calculator)
job variance for middle managers :
Σ(x - E(x))² * p(x) :
((1 - 3.84)^2 * 0.04) + ((2 - 3.84)^2 * 0.10) + ((3 - 3.84)^2 * 0.12) + ((4 - 3.84)^2 * 0.46) + ((5 - 3.84)^2 * 0.28)
= 1.1344 = 1.13 (using calculator)
Standard deviation(sd) for (senior managers) :
sd = √variance
sd = √1.25 = 1.118 = 1.12
Standard deviation(sd) for (middle managers) :
sd = √variance
sd = √1.13 = 1.063 = 1.06
The expected value (mean) for senior executives (4.05) is slightly higher Than obtained for middle managers (3.84). Similarly the measure of Variation in job satisfaction ; standard deviation and variance is also higher for senior managers than in middle managers.
